Answer:
1 st angle = 40
2 nd angle= 50
Step-by-step explanation:
- let 1 st angle be 4x and 2 nd angle be 5x
- 4x +5x =90
- 9x =90
- x=90/9
- x= 10
(X^a) *(x^b) =x^a+b then we can write x in the following form
Answer:
A slope of -3 and a y-intercept of 4
Step-by-step explanation:
In y = -3x + 4, -3 is negative, meaning that the line faces down. 4 is positive and is the y-intercept, meaning that it is 4 points above the origin (0, 0). -3 also means that for every 1 point that the x coordinate is moved, the line will go down 3 points. For example, (1, 3) is on the line and so is (2, 6).
Answer:
-409
Step-by-step explanation:
At the beginning - 12,135 subsribers,
Initial number of subsribers = 12,135
At the end - 10,090 subsribers
Final number of subsribers = 10,090
Time = 5 years.
So, the average yearly rate of change is
The number of subscribers decreases by 409 per year
Let's solve this problem using substitution. Given that x-y=8, x = 8 + y.
(Then x^2 = 64 + 16y + y^2)
This other equation is (x-2)^2 + (y-1)^2 = 25.
Easier to substitute 8 + y for x in (x-2)^2:
(8 + y - 2)^2 + (y-1)^2 = 25
(6 + y)^2 + (y-1)^2 = 25
36 + 12y + y^2 + y^2 - 2y + 1 = 25
Re-writing this in descending powers of y:
2y^2 + 10y + 36 + 1 = 25
Then 2y^2 + 10y - 12 = 0
Reduce by division by 2: y^2 + 5y - 6 = 0 = (y+3)(y+2) = 0
Then y=-3 and y=-2. From each of these we get x: x = 8 + y
So x = 8 - 3 = 5 and x = 8 - 2 = 6. There are common solutions.
Try (5, -3) and (6, -2). Do these points satisfy both of the given equations? If they do, you've shown that we have common solutions.